INDEX
Abilities, arithmetical, nature of, 1 ff. ; measurement of, 27 ff.; constitution of, 51 ff.; organization of, 137 ff.
Abstract numbers, 85 ff.
Abstraction, 169 ff.
Accuracy, in relation to speed, 31; in fundamental operations, 102 ff.
Addition, measurement of, 27 ff., 34; constitution of, 52 f.; habit in relation .to, 71 f.; in the higher decades, 75 f.; accuracy in, 108 f.; amount of practice in, 122 ff.; interest in. 196 f.
Aims of the teaching of arithmetic, 23 f.
AMES, A. F., 89
Analysis, learning by, 169 ff.; systematic and opportunistic stimuli to, 178 f.; gradual progress in, 180 ff.
Area, 257 f., 275
Arithmetic, sociology of, 24 ff.
Arithmetical abilities. See Abilities.
Arithmetical language, 8 f., 19, 89 ff., 94 ff.
Arithmetical learning, before school, 199 ff.; conditions of, 227 ff.; in relation to time of day, 227 ff.; in relation to time devoted to arithmetic, 228 ff.
Arithmetical reasoning. See Reasoning.
Arithmetical terms, 8, 19
Averages, 40 f.; 135 f.
BALLOU, F. W., 34, 38
Banking, 256 f.
BINET, A., 201
Bonds, selection of, 70 ff.; strength of, 102 ff.; for temporary service, 111 ff.; order of formation of, 141 ff. See also Habits-
BRANDELL, G., 211
BRANDPORD, B., 198 f.
BROWN, ,T. C., xvi, 103
BURGERSTEIN, L., 103
BURNETT, C. J., 202 BURT, C., 286
Cardinal and ordinal numbers confused,
206
Catch problems, 21 ff. CHAPMAN, J. C., 49 Class, size of, in relation to arithmetical
learning, 228; variation within a,
289 ff. COBB, M. V., 299
COFFMAN, L. D., XVi
Collection meaning of numbers, 3 ff.
Computation, measurements of, 33 ff.; explanations of the processes in, 60 ff.; accuracy in, 102 ff. See also Addition, Subtraction, Multiplication, Division, Fractions, Decimal numbers, Percents.
Concomitants, law of varying, 172 ff.; law of contrasting, 173 ff.
Concrete numbers, 85 ff.
Concrete objects, use of, 253 ff.
Conditions of arithmetical learning, 227 ff.
Constitution of arithmetical abilities, 51 ff.
Copying of numbers, eyestrain due to, 212 f.
Correlations of arithmetical abilities, •295 ff.
Courses of study, 232 f.
COURTIS, S. A., 28 ff., 43 ff., 49, 103. 291, 293, 299
Crutches, 112 f.
Culture-epoch theory, 198 f.
Dairy records, 273
Decimal numbers, uses of, 24 f.; measurement of ability with, 36 ff.; learning, 181 ff.; division by, 270 f.
DE CROLY, M., 205
Deductive reasoning, 60 ff., 185 ff.
DEGANO, J., 205
Denominate numbers, 141 f., 147 f.
Described problems, 10 ff.
Development of knowledge of number, 205 ff.
311